Publications :Publication List (sourced via UOW Database)
Liu, J. & Trudinger, N. (2016). On the classical solvability of near field reflector problems. Discrete and Continuous Dynamical Systems Series A, 2 (2), 895-916.
Huang, Y., Jiang, F. & Liu, J. (2015). Boundary C2,α estimates for Monge–Ampère type equations. Advances in Mathematics, 281 706-733.
Liu, J., Trudinger, N. & Wang, X. (2015). On asymptotic behaviour and W 2, p regularity of potentials in optimal transportation. Archive for Rational Mechanics and Analysis, 215 (3), 867-905. Archive for Rational Mechanics and Analysis
Huang, Y., Liu, J. & Xu, L. (2015). On the uniqueness of Lp-Minkowski problems: The constant p-curvature case in R^3. Advances in Mathematics, 281 906-927.
Current Positions:Senior Lecturer
Biography:I received a Bachelor of Science in Mathematics at Chu KoChen Honours College, Zhejiang University, China in 2006. In 2006, I undertook a PhD at the Australian National University and graduated in 2010. In 2010, I was awarded a Simons Postdoctoral Fellowship for a three-year term at Princeton University in the USA. In 2013, I moved to the University of Wollongong to commence a continuing position.
Research Interests:My main research interests are in nonlinear elliptic and parabolic partial differential equations and applications in geometry and optimal transportation. In particular, the regularity theory of Monge-Ampere equations, Hessian equations, and other variational problems. I am also interested in related areas of geometry and physics, including geometry of convex bodies, minimal surfaces, surfaces of prescribed curvatures, and geometric flows.
Awards:Discovery Project (DP170100929), ARC, 2017--2019
Discovery Early Career Researcher Award (DECRA), ARC, 2014--2016
UIC International Links Scheme, UOW, 2015
URC Small Grants Scheme, UOW, 2013
Simons Postdoctoral Fellowship, Simons Foundation, USA 2010--2013
Shiing-shen Chern Mathematical Scholarship, Zhejiang University, China 2005--2006
- Trong Thuc Phung : A Study of Geometric Conditions for the Regularity of Solutions to the Optimal Transportation Problem in C
- Fang Li : Room Temperature Rechargeable Lithium Sulfur Battery
- Jihang Zhang : Adaptive Resource Allocation Strategies for Emergency Management
- Siyuan Li : Monge-Ampere Type Equations and Stochastic Partial Differential Equations